sat-dog

$y=4x+1$
$4y=15x-8$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $x-y$?

If is the solution to the system of equations above, what is the value of  ?

$4x=20$

$-3x+y=-7$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $x+y$?

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?

$48x-72y=30y+24$

$ry=\frac{1}{6}-16x$

In the given system of equations, $r$ is a constant. If the system has no solution, what is the value of $r$?

$y=4x-9$
$y=19$

What is the solution $\left(x,y\right)$ to the given system of equations?

$24x+y=48$

$6x+y=72$

The solution to the given system of equations is $(x,y)$. What is the value of $y$?

A movie theater sells two types of tickets, adult tickets for $12 and child tickets for $8. If the theater sold 30 tickets for a total of $300, how much, in dollars, was spent on adult tickets? (Disregard the $ sign when gridding your answer.)

$x+2y=6$

$x-2y=4$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $x$?

$-15x+25y=65$

One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which of the following could be the second equation in the system?

$x=5$

$y=x-8$

Which of the following points $\left(x,y\right)$ is the solution to the given system of equations in the xy-plane?

$3x=12$

$-3x+y=-6$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $y$?

Connor has $c$ dollars and Maria has $m$ dollars. Connor has $4$ times as many dollars as Maria, and together they have a total of $\$25.00$. Which system of equations represents this situation?

A wire with a length of $106$ inches is cut into two parts. One part has a length of $x$ inches, and the other part has a length of $y$ inches. The value of $x$ is $6$ more than $4$ times the value of $y$. What is the value of $x$?

$5x+14y=45$

$10x+7y=27$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $xy$?

$6x+7y=28$
$2x+2y=10$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of y?

A dance teacher ordered outfits for students for a dance recital. Outfits for boys cost $26, and outfits for girls cost $35. The dance teacher ordered a total of 28 outfits and spent $881. If b represents the number of outfits the dance teacher ordered for boys and g represents the number of outfits the dance teacher ordered for girls, which of the following systems of equations can be solved to find b and g ?

In the system of equations above, c is a constant. If the system has no solution, what is the value of c ?

If is the solution to the given system of equations, what is the value of y ?

In the system of equations above, a is a constant. If the system of equations has no solution, what is the value of a ?

$8x+7y=9$
$24x+21y=27$

For each real number $r$, which of the following points lies on the graph of each equation in the xy-plane for the given system?

$y=-3x$

$4x+y=15$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $x$?

Store A sells raspberries for $\$5.50$ per pint and blackberries for $\$3.00$ per pint. Store B sells raspberries for $\$6.50$ per pint and blackberries for $\$8.00$ per pint. A certain purchase of raspberries and blackberries would cost $\$37.00$ at Store A or $\$66.00$ at Store B. How many pints of blackberries are in this purchase?

Which of the following systems of linear equations has no solution?

Which of the following systems of linear equations has no solution?